Two construction workers, tyrone and diego, are standing 15 yards apart, looking up at a piano hanging between the two men from a crane. tyrone is staring at the piano with an angle of elevation of 65°, and diego is looking up with an angle of elevation of 77°. what is the distance between tyrone and the piano? round the answer to the nearest tenth. 9.0 yd 16.1 yd (its not b 22.1 yd 23.7 yd

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation: